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117788016 = 24347109479
BaseRepresentation
bin1110000010101…
…00110101110000
322012122020210010
413001110311300
5220123204031
615404334520
72630116203
oct701246560
9265566703
10117788016
1160540975
1233544440
131b531168
141190193a
15a51a246
hex7054d70

117788016 has 80 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 37995264.

The previous prime is 117788009. The next prime is 117788017. The reversal of 117788016 is 610887711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117788017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245665 + ... + 246143.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2117788016 is an apocalyptic number.

117788016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117788016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

117788016 is an abundant number, since it is smaller than the sum of its proper divisors (196477584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117788016 is a wasteful number, since it uses less digits than its factorization.

117788016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 39.

The square root of 117788016 is about 10853.0187505597. The cubic root of 117788016 is about 490.1929213958.

The spelling of 117788016 in words is "one hundred seventeen million, seven hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 109 141 188 218 282 327 376 436 479 564 654 752 872 958 1128 1308 1437 1744 1916 2256 2616 2874 3832 5123 5232 5748 7664 10246 11496 15369 20492 22513 22992 30738 40984 45026 52211 61476 67539 81968 90052 104422 122952 135078 156633 180104 208844 245904 270156 313266 360208 417688 540312 626532 835376 1080624 1253064 2453917 2506128 4907834 7361751 9815668 14723502 19631336 29447004 39262672 58894008 117788016